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Finding the Fourth Proportional to 6,249.88, 9,374.01 and 2,965.06

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Solution

The fourth proportional to 6,249.88, 9,374.01 and 2,965.06 is: 4,447.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,249.88 : 9,374.01 = 2,965.06 : x
  2. Step 2: Convert to fraction form
    6,249.88/9,374.01 = 2,965.06/x
  3. Step 3: Cross multiply
    6,249.88x = 9,374.01 × 2,965.06
  4. Step 4: Simplify right side
    6,249.88x = 27,794,502.09
  5. Step 5: Solve for x
    x = 27,794,502.09/6,249.88
  6. Step 6: Final answer
    x = 4,447.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.